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\title{Spare Capacity Allocation in Two-Layer Networks}
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\section{List of Tables}

TABLE I Acronyms

TABLE II Notation

TABLE III Results of two top-layer spare capacity allocation (SCA)

TABLE IV Results of bottom-layer spare capacity allocation (SCA)

TABLE V Results of combining two single-layer SCA and the common pool approaches

TABLE VI Comparison of $S^{[A]}$ for path restoration schemes

\section{List of Figures}

Fig. 1 Network 0: 5-node overlay network

Fig. 2 Total Spare Capacity on two-layer networks on Network 1-4

Fig. 3 Total Spare Capacity on two-layer networks on Network 5-8

Fig. 4 Percentage Saving of the Total Spare Capacity using SCA on both layers

Fig. 5 Redundancy on two-layer networks

Fig. 6 Comparison of various path protection schemes for link failures in two-layer networks

Fig. 7 Comparison of various path protection schemes for node failures in two-layer networks

Fig. 8 Net 1 ($N=6,L=9,N^b=10,L^b=22$)

Fig. 9 Net 2 ($N=7,L=12,N^b=12,L^b=25$)

Fig. 10 Net 3 ($N=8,L=14,N^b=13,L^b=23$)

Fig. 11 Net 4 ($N=10,L=16,N^b=17,L^b=31$)

Fig. 12 Net 5 ($N=10,L=18,N^b=18,L^b=27$)

Fig. 13 Net 6 ($N=10,L=22,N^b=23,L^b=33$)

Fig. 14 Net 7 ($N=8,L=13,N^b=26,L^b=30$)

Fig. 15 Net 8 ($N=12,L=24,N^b=50,L^b=82$)

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